7485973104 has 40 divisors (see below), whose sum is σ = 19341864720. Its totient is φ = 2494924288.

The previous prime is 7485973097. The next prime is 7485973147. The reversal of 7485973104 is 4013795847.

It is a happy number.

It is a super-3 number, since 3×7485973104³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 564502 + ... + 577610.

It is an arithmetic number, because the mean of its divisors is an integer number (483546618).

Almost surely, 2^7485973104 is an apocalyptic number.

It is an amenable number.

7485973104 is an abundant number, since it is smaller than the sum of its proper divisors (11855891616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7485973104 is a wasteful number, since it uses less digits than its factorization.

7485973104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25017 (or 25011 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 7485973104 is about 86521.5181558900. The cubic root of 7485973104 is about 1956.2127603427.

The spelling of 7485973104 in words is "seven billion, four hundred eighty-five million, nine hundred seventy-three thousand, one hundred four".